Highest Common Factor of 6314, 8756 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6314, 8756 i.e. 22 the largest integer that leaves a remainder zero for all numbers.
HCF of 6314, 8756 is 22 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 6314, 8756 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 6314, 8756 is 22.
HCF(6314, 8756) = 22
HCF of 6314, 8756 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6314, 8756 is 22.
Highest Common Factor of 6314,8756 is 22
Step 1: Since 8756 > 6314, we apply the division lemma to 8756 and 6314, to get
8756 = 6314 x 1 + 2442
Step 2: Since the reminder 6314 ≠ 0, we apply division lemma to 2442 and 6314, to get
6314 = 2442 x 2 + 1430
Step 3: We consider the new divisor 2442 and the new remainder 1430, and apply the division lemma to get
2442 = 1430 x 1 + 1012
We consider the new divisor 1430 and the new remainder 1012,and apply the division lemma to get
1430 = 1012 x 1 + 418
We consider the new divisor 1012 and the new remainder 418,and apply the division lemma to get
1012 = 418 x 2 + 176
We consider the new divisor 418 and the new remainder 176,and apply the division lemma to get
418 = 176 x 2 + 66
We consider the new divisor 176 and the new remainder 66,and apply the division lemma to get
176 = 66 x 2 + 44
We consider the new divisor 66 and the new remainder 44,and apply the division lemma to get
66 = 44 x 1 + 22
We consider the new divisor 44 and the new remainder 22,and apply the division lemma to get
44 = 22 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 6314 and 8756 is 22
Notice that 22 = HCF(44,22) = HCF(66,44) = HCF(176,66) = HCF(418,176) = HCF(1012,418) = HCF(1430,1012) = HCF(2442,1430) = HCF(6314,2442) = HCF(8756,6314) .
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Frequently Asked Questions on HCF of 6314, 8756 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 6314, 8756?
Answer: HCF of 6314, 8756 is 22 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6314, 8756 using Euclid's Algorithm?
Answer: For arbitrary numbers 6314, 8756 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.